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We investigate two-fluid BGK kinetic methods for binary fluids. The developed theory works for asymmetric as well as symmetric systems. For symmetric systems it recovers Sirovich's theory and is summarized in models A and B. For asymmetric…

Soft Condensed Matter · Physics 2009-11-10 Aiguo Xu

In this paper, a central-moment-based lattice Boltzmann (CLB) method for incompressible thermal flows is proposed. In the method, the incompressible Navier-Stokes equations and the convection-diffusion equation for the temperature field are…

Computational Physics · Physics 2017-12-21 Linlin Fei , K. H. Luo , Chuandong Lin , Qing Li

In this paper, we extend a lattice Boltzmann equation (LBE) with continuous surface fore (CSF) to simulate thermocapillary flows. The model is designed on our previous CSF LBE for athermal two phase flow, in which the interfacial tension…

Computational Physics · Physics 2014-12-22 Lin Zheng , Song Zheng , Qinglan Zhai

Gas-radiation coupling critically influences hypersonic reentry flows, where extreme temperatures induce pronounced non-equilibrium gas and radiative heat transport. Accurate and efficient simulation of radiative gas dynamics is therefore…

Computational Physics · Physics 2026-01-08 Jianan Zeng , Qi Li , Yanbing Zhang , Wei Su , Lei Wu

Over the last two decades, lattice Boltzmann methods have become an increasingly popular tool to compute the flow in complex geometries such as porous media. In addition to single phase simulations allowing, for example, a precise…

The current work presents a novel COllaborative Open-source Lattice Boltzmann Method framework, so-called CooLBM. The computational framework is developed for the simulation of single and multi-component multi-phase problems, along with a…

Computational Physics · Physics 2025-02-19 R. Alamian , A. K. Nayak , M. S. Shadloo

The problem of energy conservation in the lattice Boltzmann method is solved. A novel model with energy conservation is derived from Boltzmann's kinetic theory. It is demonstrated that the full thermo-hydrodynamics pertinent to the…

Statistical Mechanics · Physics 2007-05-23 S. Ansumali , I. V. Karlin

We investigate the formation and transport of gas bubbles across a model porous catalyst/electrode using lattice Boltzmann simulations. This approach enables us to systematically examine the influence of a wide range of morphologies, flow…

Soft Condensed Matter · Physics 2024-04-29 Thomas Scheel , Paolo Malgaretti , Jens Harting

We present a polar coordinate lattice Boltzmann kinetic model for compressible flows. A method to recover the continuum distribution function from the discrete distribution function is indicated. Within the model, a hybrid scheme being…

Soft Condensed Matter · Physics 2018-03-09 Chuandong Lin , Aiguo Xu , Guangcai Zhang , Yingjun Li , Sauro Succi

We propose a lattice Boltzmann color-gradient model for immiscible ternary fluid flows, which is applicable to the fluids with a full range of interfacial tensions, especially in near-critical and critical states. An interfacial force for…

Computational Physics · Physics 2018-08-28 Yuan Yu , Haihu Liu , Dong Liang , Yonghao Zhang

The one-dimensional nonlinear equations for the blood flow motion in distensible vessels are considered using the kinetic approach. It is shown that the Lattice Boltzmann (LB) model for non-ideal gas is asymptotically equivalent to the…

Computational Physics · Physics 2020-02-26 Oleg Ilyin

The recently introduced consistent lattice Boltzmann model with energy conservation [S. Ansumali, I.V. Karlin, Phys. Rev. Lett. 95, 260605 (2005)] is extended to the simulation of thermal flows on standard lattices. The two-dimensional…

Statistical Mechanics · Physics 2007-07-16 N. I. Prasianakis , I. V. Karlin

We present a novel approach to kinetic theory modeling enabling the simulation of a generic, real gas presented by its corresponding equation of state. The model is based on mass, momentum and energy conservation, and unlike the lattice…

Fluid Dynamics · Physics 2020-02-25 Ehsan Reyhanian , Benedikt Dorschner , Ilya Karlin

A novel coupled level-set lattice Boltzmann method on adaptive Cartesian grids for simulating liquid-gas multiphase flows is presented. The approach addresses the inherent challenges of accurately modeling multiphase systems characterized…

Fluid Dynamics · Physics 2026-01-12 Julian Vorspohl , Yuxing Peng , Matthias Meinke , Dominik Krug , Wolfgang Schröder

An enthalpy-based uniform lattice Boltzmann flux solver (EULBFS) is proposed in this paper for simulating liquid solidification, incorporating the effects of volume expansion and shrinkage caused by density differences between liquid and…

High Energy Physics - Lattice · Physics 2025-07-08 Jinxiang Zhou , Liming Yang , Yaping Wang , Jie Wu , Xiaodong Niu

The lattice Boltzmann method is adopted to solve the liquid-vapor phase change problems in this article. By modifying the collision term for the temperature evolution equation, a new thermal lattice Boltzmann model is constructed. As…

Computational Physics · Physics 2022-11-23 Lei Wang , Jiangxu Huang , Kun He

A numerical method for simulating three-phase flows with moving contact lines on arbitrarily complex surfaces is developed in the framework of lattice Boltzmann method. In this method, the immiscible three-phase flow is modeled through a…

Fluid Dynamics · Physics 2021-07-28 Sheng Li , Yang Lu , Fei Jiang , Haihu Liu

We propose an innovative difference-free scheme that combines the one-fluid lattice Boltzmann method (lBM) with the conservative phase-field (CPF) lBM to effectively solve large-scale two-phase fluid flow problems. The difference-free…

Fluid Dynamics · Physics 2024-07-18 Chunheng Zhao , Saumil Patel , Taehun Lee

A simple extension of the Lattice Boltzmann equation is proposed, which permits to handle reactive flow dynamics in the limit of fast chemistry at virtually no extra-cost with respect to the purely hydrodynamic scheme.

comp-gas · Physics 2008-02-03 S. Succi , G. Bella , F. Papetti

Rooted from the gas kinetics, the lattice Boltzmann method is a powerful tool in modeling hydrodynamics. In the past decade, it has been extended to simulate the rarefied gas flow beyond the Navier-Stokes level, either by using the…

Fluid Dynamics · Physics 2017-08-30 Scott Lindsay , Wei Su , Haihu Liu , Lei Wu